1.
Introduction
2.
Getting Started
2.1.
Quickstart Examples
3.
Numbers
3.1.
Natural Numbers
3.2.
Integers
3.3.
Rationals
3.4.
Modular Arithmetic
4.
Linear Algebra
4.1.
Matrices
4.2.
Hermite Normal Form
4.3.
Smith Normal Form
4.4.
Jordan Normal Form
4.5.
Free Modules
5.
Polynomials
5.1.
Univariate Polynomials
5.2.
Multivariate Polynomials
5.3.
Symmetric Polynomials
6.
Algebraic Numbers
6.1.
Obtaining Polynomial Roots
6.2.
Real Algebraic Numbers
6.3.
Complex Algebraic Numbers
6.4.
p-Adic Algebraic Numbers
6.5.
Algebraic Number Fields
6.5.1.
Embedded Number Fields
6.5.2.
Ideals
6.5.3.
Class Group
7.
Shapes
8.
Groups
9.
The Structure System
9.1.
Structure Types
9.2.
Canonical Structures
9.3.
Morphisms
9.4.
Sets
9.5.
Rings